1.

Lim x tends 3 (x-3)/(√x-√3)=

Answer»

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LIM x TENDS to 3

\frac{x - 3}{ \sqrt{x}  -  \sqrt{3} }

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lim X tends to 3

\frac{x - 3}{ \sqrt{x}  -  \sqrt{3} }

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RATIONALISE the term

lim x tends to 3

\frac{x - 3}{ \sqrt{x} -  \sqrt{3}  }  \times  \frac{ \sqrt{x}   +  \sqrt{3} }{ \sqrt{x} +  \sqrt{3}  }

lim x tends to 3

\frac{(x - 3) (\sqrt{x}  + \sqrt{3} )}{( x - 3) }

lim x tends to 3

\sqrt{x}  +  \sqrt{3}

put x = 3

then u get 2√3

which is the required answer

I hope it helps you!



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